A magnetic field of 0.0037 T is measured at a distance of 2 cm from a long
straight current carrying wire. What is the magnitude of the current flow in the
wire?

Answers

Answer 1

Hi there!

We can use Ampère's Law to derive an expression for the magnetic field strength produced by an infinitely long current-carrying wire:

[tex]\oint B \cdot dl = \mu_0 I_{encl}[/tex]

B = Magnetic Field Strength (T)
dl = Differential length along path

μ₀ = Permeability of Free Space (Tm/A)

I = Enclosed current (A)

The integral is a cross product, so the cosine of the angle between the magnetic field and the path of integration is used. However, for a straight current-carrying wire, the path is ALWAYS parallel to the magnetic field, so since cos(180) = 1, we can disregard the cross product.

Additionally, the path of integration is equivalent to:

[tex]l = 2\pi r[/tex]

[tex]B \cdot l = \mu_0 I_{encl}\\\\B * 2\pi r = \mu_0 I_{encl}\\\\B = \frac{\mu_0 I_{encl}}{2\pi r }[/tex]

Rearrange to solve for enclosed current:

[tex]I_{encl} = \frac{2\pi rB}{\mu_0} = \frac{2\pi (0.02)(0.0037)}{(4\pi *10^{-7})} = \boxed{370 A}[/tex]


Related Questions

(100 POINTS AND BRAINLIEST)
1. When elements form a molecule, what is true about the oxidation numbers of the atoms in the molecule?
a. The sum of the oxidation numbers must equal zero.
b. All oxidation numbers from the same molecule must be positive.

2. True or False: All oxidation numbers from the same molecule must be negative.
a. True
b. False

3. Which of the following elements will bond with oxygen resulting in a 1:1 ratio of oxygen and the element?
a. lithium
b. boron
c. beryllium
d. nitrogen

Answers

Answer:

1. a

2. b (FALSE)

3. c (beryllium)

Explanation:

Answer:

the answer for number one is A. number 2 is B. and number 3 is C.

Explanation:

theys a Quizlet made on these three questions already so I just got it from there. they should be correct pls let me know if they are.

If an amount of heat Q is needed to increase the temperature of a solid metal sphere of diameter D from 4°C to 7°C, the amount of heat needed to increase the temperature of a solid sphere of diameter 2D of the same metal from 4°C to 7°C is

Answers

Answer:

Q = c M ΔT      where c is the heat capacity and M the mass present

Q2 / Q1 = M2 / M1    since the other factors are the same

M = ρ V     where ρ is the density

M = ρ Π (d / 2)^2           where d is the diameter of the sphere

M2 / M1 = (2 D/2)^2 / (D/2)^2 = 4

It will take 4Q heat to heat the second sphere

A sphere of mass 15 kg possess kinetic energy of 1200 J. Calculate its
velocity

Answers

Answer:

12.65 Meters / Second (m/s)

Explanation:

the problem is really easy to solve, we begin by stating the kinetic energy formula which is:

KE = (1/2)(mass)(velocity)^2

We equate 1200 J to the formula, substitute the mass, and solve for velocity either using a CAS, app, or by hand

1200J = (0.5)(15kg)v^2

v = 12.65 m/s

Waves
Please need help fast

Answers

I believe its the third answer

How does the force of gravity relate to size?

Answers

Answer:

Gravitational force is an attraction between masses. The greater the size of the masses, the greater the size of the gravitational force (also called the gravity force). The gravitational force weakens rapidly with increasing distance between masses

Why are current and resistance kept very low?
A. To prevent excess heat.
B. Because the voltage is also quite low.
C. Both A. and B.
D. None of the above.

Answers

Answer:

I think the answer is B.

Explanation:

If the resistance is too high, the current will be low even if the voltage is enough.

Which statement is true about this magnet and nails?


The nails are permanent magnets.


Both the magnet and the nails are permanent magnets.


Both the magnet and the nails are temporary magnets.


The nails are temporary magnets.

Answers

Answer: The nails are temporary magnets.

Explanation:

      A permanent magnet is a magnet that will stay magnetized, while a temporary magnet will lose magnetism.

      The magnet here is a permanent magnet, so the "Both the magnet and the nails are temporary magnets." option is incorrect.

      The nail is a temporary magnet, so this narrows the options down to our answer;

          The nails are temporary magnets.

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A small object with a mass of 1 kg moves in a circular path with a constant speed of 5 m/s. What is the change in momentum during 1⁄2 of period; one period?

Answers

The change in momentum of the object during the half period is -10 kgm/s.

The change in momentum of the object during the one period is 0.

Change in momentum of the object during ¹/₂ period

The change in momentum of the object during the half period is calculated as follows;

ΔP(¹/₂) = Pf - Pi

where;

Pf is final momentumPi is the initial momentum

ΔP(¹/₂) = (-5 x ) - (5 x 1)  

ΔP(¹/₂) = -10 kgm/s

Change in momentum of the object during 1 period

ΔP(1) = Pf - Pi

ΔP(1) = (5 x 1) - (5 x 1) = 0

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Name two ways to get more voltage from a generator.

Answers

Answer:

1. The faster the coil rotates the faster will it cut the magnetic field and the bigger will be the output voltage.

2. You could increase the output voltage of a generator by rotating it faster, increasing the number of turns on the coil or using stronger magnets,

Explanation:

Hopefully this helps if not im terribly sorry

A force of 400N acts on a body for time 10ms impulse will be

Answers

Answer:

4000Ns

Explanation:

I=F×T=400N×10ms

examples of cultural lag

Answers

Answer:

when you lag in culture

Explanation:

it makes sense

Answer:

Well it could possibly be because of where you live, or if there is a strong power source or WiFi thing.

Explanation:

I’m sorry if my answers not the best I’m just doing it of my own experience from bad WiFi.


Two identical pucks of equal but unknown mass head straight towards each other with velocities
of 8.0 m/s and -6.0 m/s. They collide and stick together. What is their resulting velocity?

Answers

inelastic collision

m.8 - m.6 = 2mv'

2m = 2mv'

v' = 1 m/s

Answer:

1 m/s

Explanation:

According to the Law of Conservation of Momentum, (for inelastic collisions)

v = m₁v₁ + m₂v₂ / m₁ + m₂v = 8m - 6m / 2mv = 2m/2mv = 1 m/s

Consider an object of mass 2kg on a ramp with βs=0.5 and βk=0.4.
If we keep increasing the ramp angle, what is the angle() that the object starts to move downward? Give your answer in degree with 1 decimal place.

Answers

If we keep increasing the ramp angle, the angle that the object starts to move downward is 26.6°

To find the ramp angle, we need to know the forces acting on the mass on the ramp.

Forces acting on the mass on the ramp.

Since the mass will just start to move, the force acting on the mass in the horizontal direction is the horizontal component of its weight in that direct. So, F = mgsinθ. where θ = ramp angle

The force acting on the mass in the vertical direction is the vertical component of its weight, F' = mgcosθ where θ = ramp angle

For the mass to just start to move downwards, the horizontal component of its weight must equal the static frictional force, f on it.

F = f

Since f = μN where

μ = coefficient of static friction = 0.5 and N = normal force = F' = mgcosθ

So, F = f

mgsinθ = μmgcosθ

Dividing through by mgcosθ, we have

mgsinθ/mgcosθ = μmgcosθ/mgcosθ

sinθ/cosθ = μ

μ = tanθ

The ramp angle at which the object starts to move downward

So, the angle at which the object starts to move downward is

θ = tan⁻¹μ

Since μ = 0.5

θ = tan⁻¹0.5

θ = 26.57°

θ ≅ 26.6°

So, the angle at which the object starts to move downward is 26.6°.

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how does x-rays tube work
A)Compton effect
b)Photoelectric phenomenon
c) cathod and anode ​

Answers

Answer:

c

Explanation:

X-ray tube is an evacuated electron tube that creates X rays by accelerating electrons to a high velocity and causing them to collide with a target, the anode plate, using a high-voltage field.


If a sound wave has a wavelength of 7 m and travels at a speed of 330 m/s, what is the
frequency of the sound?

O 47.1 hz
O2.12 hz
2.31 hz
23.1 hz

Answers

Answer:

047.1

Explanation:

frequency equals velocity over lambda

What does the term conservation mean?
A. The process of changing used materials into new products
B. The process of removing pollution from a natural resource
C. Consistent overuse of renewable resources
D. The protection and careful use of natural resources

Answers

CONSERVATION

==============================

[tex] \large \sf \underline{Question:}[/tex]

What does the term conservation mean?

==============================

[tex] \large \sf \underline{Answer:}[/tex]

[tex] \qquad \qquad \huge \bold{Option \: D}[/tex]

==============================

[tex] \large \sf \underline{Explanation:}[/tex]

From the term or word itself "Conservation" or in other words conserve, it directly means the protection and careful use of natural resources.

==============================

[tex] answer [/tex] :-

The term Conservations mean the protection and careful use of natural resources.

what amount of heat is needed to raise 52.3g of water by 12 c

Answers

Answer:

2.73 kJ

Explanation:

yan po I hope it's help po pa brainly na lng po


A copper wire of length 25 cm is in a magnetic field of 0.20 T. If it has a mass of 10 g, what is the minimum current through the wire that would cause a magnetic force
equal to its weight?
Select one:
1.3 A
1.5 A
2.0 A
4.9 A

Answers

Hi there!

Recall the equation for magnetic force on a wire:
[tex]F_B = B \times iL[/tex]

[tex]F_B[/tex] = Magnetic force (N)

B = Magnetic field strength (0.2 T)
i = Current in wire (? A)
L = Length of wire (0.25 m)

This is a cross-product, but we can assume the field is perpendicular to the current since it is not explicitly stated otherwise.

The equation for the weight of an object (Force due to gravity) is given by:
[tex]F_g = mg[/tex]

m = mass of object (0.01 kg)
g = acceleration due to gravity (9.81 m/s²)

Set the two equations equal to each other and solve for 'i'.

[tex]F_B = F_g\\\\BiL = mg\\\\i = \frac{mg}{BL} = \frac{0.01 * 9.81}{0.2 * 0.25} = \boxed{1.962A \approx 2.0 A}[/tex].

a car uses 2500j in 25 seconds how much power did you use

Answers

Answer:

power is 100W

Explanation: power= joule/second

power= 2500/25

=100W

Answer: 100 W

Step-by-Step Explanation:

Energy (e) = 2500 j
Time (t) = 25 s

Power = e/t

Therefore,
= e/t
= 2500/25
= 100 J/s

1 W = 1 J/s

Hence, Power = 100 W

A battery of emf 20v and internal resistance 1 ohms connected in series with an external resistor4 ohms what is
a power dissipate due to ineternal resistor​

Answers

The power dissipate due to internal resistor​ is 400 W.

Power dissipated in a circuit

The power dissipate due to internal resistor​ is calculated as follows;

P = IV

P = (V/r)V

P = V²/r

where;

V is emf of the batteryr is internal resistor

P = (20²)/(1)

P = 400 W

Thus, the power dissipate due to internal resistor​ is 400 W.

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A train moving west with an initial velocity of 20 m/s accelerates at 4 m/s' for 10 secon
moves a distance of
a
meters.

Answers

Answer:

Distance of 400m.

Explanation:

Use your kinematics equation to solve for distance (we can use kinematics b/c acceleration is constant).

d = (initial velocity x time) + 1/2 at^2

d = (20 x 10) + 1/2 (4) (10)^2

d = 200 + 200

d = 400 m

How does the weight of an object relate to how fast it falls with a parachute?

Answers

Feathers fall slower than heavier objects. Parachutists fall slower when the parachute is open. Heavy objects push with greater force on your hand.

the importance of organs of nervous system​

Answers

Explanation:

The nervous system transmits signals between the brain and the rest of the body, including internal organs. In this way, the nervous system's activity controls the ability to move, breathe, see, think, and more.

it communicates with the body to help it function correctly (helps you feel things and regulate homeostasis)

To which group/family does each of these belong? A. Sulfur _________ B. Sodium _________ C. Argon _________ D. Silicon _________ E. Chlorine _________ F. Phosphorus_________

Answers

Answer:

A. Sulfur _________ group 16 chalcogens

B. Sodium _________ group 1 alkali metals

C. Argon _________ group 18 noble gases

D. Silicon _________ group 14 carbon family

E. Chlorine _________ group 17 halogens

F. Phosphorus_________ group 15 pnicogens

86. What is the average velocity if the initial velocity is at rest and the final velocity of 16 m/s? a) 16 m/s b) 12 m/s c) 8 m/s d) 4 m/s​

Answers

Answer:

8 m/s

Explanation:

(16-0)/2 = 8 m/s

-10m/s² and vertical height of 0.6m.How will we use this information to find the velocity of the falling object?

Answers

i think we should ask our teach

Formulating an Investigative Question
In this lab, you will use a magnet and a simple circuit to
examine the concepts of electricity and magnetism. Think
about how these ideas can be shown experimentally.
In the space below, write a scientific question to address
by doing this experiment.

Answers

A magnet can be used to show electromagnetic forces by showing how negative charges can move a particular piece of  metal.

What is a scientific question?

A scientific question is a given question derived from observation of the real world and can be answered by applying the scientific method.

In this case, a plausible scientific question might be how electromagnetic forces can move a piece of metal and we need to develop an explanation (hypothesis) to understand it.

In conclusion, a magnet can be used to show electromagnetic forces by showing how negative charges can move a metal.

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Answer:

How can magnetic and electric fields be demonstrated?

Explanation:

Monitoring cash flow and keeping track of the bottom line of a business are responsibilities for whom?

Answers

Answer:
A financial manager.

Explanation:
This is because a financial manager oversees the financial operations of a company. Generally, a financial manager assumes accounting responsibilities for the company. A financial manager is responsible for planning and managing the company's financial resources.


Side note:
Hope this helps!
Please give Brainliest!

Light ray 1 strikes the surface, separating air and water as shown below.

A horizontal line is drawn and the part above the line is labeled Air and the part below the line is labeled Water. There is one slanting ray labeled 1 which falls on the line at a point and there are four rays of light labeled 2, 3, 4, and 5 which move away from same point on the line. Ray 5 is exactly vertical to the line and below the line, ray 4 is on the right of ray 5 and makes an angle of about 25 degrees with ray 5. Ray 3 is above the line and makes an angle of about 25 degrees with the line. Ray 2 is on the right of ray 1 and ray 1 and ray 2 make angles of about 25 degrees with the vertical at the point where ray 1 strikes.

Which of the following is the refracted ray for ray 1?

Group of answer choices

Ray 2

Ray 3

Ray 4

None, ray 1 is not refracted

Answers

The ray that is part of the reflected ray must be ray 2 from the description in the question.

What is reflection?

the term reflection has to do with the bouncing back of a wave. When waves hit a surface, they can bounce back in the opposite direction. The reflection of light leads to so many phenomena such as shadow.

In this case, the ray that is part of the reflected ray must be ray 2 from the description in the question.

So RAY 2

Answer:

The ray that is part of the reflected ray must be ray 2 from the description in the question.

Explanation:

A
car accelerates from rest at 4.5 m/s² for 3 seconds.
a. What is the car's velocity after 3 seconds?
b. What distance does the car travel in the 3 seconds?
m/s

Answers

A car accelerates from rest at 4.5 m/s² for 3 seconds, the car's velocity after 3 seconds is 13. 5 m/s

The distance the car travel in the 3 seconds is 40. 5m/s

 

The first equation of motion is v = u + a t. It explains the relationship between velocity and time.

V = Final velocity

u = Initial velocity

a = acceleration

t  = time.

How to determine the velocity

When an object is brought to rest or moves from resting, U, initially velocity equals 0.

From the formula,

V = u + at

V = ?

u = 0, because the object was at rest.

a = 4. 5 m/ s²

t = 3 seconds

Velocity, V = 0 + 4. 5 × 3

Velocity , V = 0 + 13. 5

Velocity, V = 13.5 m/s²

How to determine the distance

Velocity = Distance ÷ time

Velocity, V = 13. 5 m/s²

time = 3 seconds

distance = ?

Distance = Velocity × time

Distance = 13. 5 × 3

Distance = 40. 5 m

Therefore, the car's velocity after 3 seconds is 13. 5 m/s² and the distance the car travels after 3 seconds is 40. 5m

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